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 A059172 Numbers k such that k/rad(k) > sqrt(k) where rad(k) is the largest squarefree number dividing k. 35
 8, 16, 27, 32, 48, 54, 64, 72, 81, 96, 108, 125, 128, 144, 160, 162, 192, 200, 216, 224, 243, 250, 256, 288, 320, 324, 343, 375, 384, 392, 400, 405, 432, 448, 486, 500, 512, 567, 576, 625, 640, 648, 675, 686, 704, 729, 768, 784, 800, 832, 864, 896, 960, 968 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Numbers k which have measure of smoothness J bigger as 2. Where J = log(k)/log(rad(k)), where rad(k) is product of distinct prime divisors of k. - Artur Jasinski, Feb 02 2010 LINKS Amiram Eldar, Table of n, a(n) for n = 1..10000 (terms 1..1000 from Harvey P. Dale) EXAMPLE 48 is included because 6 is largest squarefree to divide 48 and 48 /6 = 8 > sqrt(48). MATHEMATICA aa = {}; Do[kk = FactorInteger[c]; nn = 1; Do[nn = nn*kk[[n]][[1]], {n, 1, Length[kk]}]; If[Log[c]/Log[nn] >= 2, AppendTo[aa, c]], {c, 2, 1000}]; aa (* Artur Jasinski, Feb 02 2010 *) Select[Range[1000], #/Last[Select[Divisors[#], SquareFreeQ]]>Sqrt[#]&] (* Harvey P. Dale, Dec 14 2017 *) CROSSREFS Cf. A003557, A007947. Sequence in context: A083419 A329134 A090081 * A107606 A245713 A320966 Adjacent sequences:  A059169 A059170 A059171 * A059173 A059174 A059175 KEYWORD nonn AUTHOR Leroy Quet, Feb 14 2001 STATUS approved

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Last modified May 5 19:29 EDT 2021. Contains 343573 sequences. (Running on oeis4.)